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An Odd Pyramid (Posted on 2003-10-14) Difficulty: 3 of 5
Consider the numerical pyramid below, formed by simply putting down the series of odd numbers into a pyramid.
           1
         3   5
       7   9   11
    13  15  17   19
      . . .
Find a formula for the sum of the numbers in the nth row, and prove it.

See The Solution Submitted by DJ    
Rating: 4.1667 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: sk, i dnt understand quite what u r getting at | Comment 16 of 21 |
(In reply to sk, i dnt understand quite what u r getting at by anand)

Anand,

You wrote:
, the number of odd numbers that would have been used up is given by 1+2+3+4....n-1 i.e n(n-1)/2 ..
__________

You used the generic formula n(n-1)/2. This is true... but you didn't prove it. Neither did I initially. Charlie called me on it, so I did.
  Posted by SilverKnight on 2003-10-17 14:52:43

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